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Unformatted text preview: Mathematical Method Electric fields at point P: E 1 =E cos ( ω t+ φ ) E 2 =E cos t Superposition: E 1 + E 2 =E cos ( t+ )+ E cos t = 2E cos ( φ/2) cos ( t+ φ/2) = Ε P cos ( t+ Amplitude: P = 2E  cos ( φ/2) Intensity I ∝ E P 2 = 4E 2 cos 2 ( Or: I=I o cos 2 ( Liu UCD Phy9B 07 7 Intensity in Interference Patterns: Phasor Diagram Amplitude: Ε P = 2E  cos ( φ/2) Intensity I ∝ E P 2 = 4E 2 cos 2 ( φ/2) Or: I=I o cos 2 ( φ/2) Liu UCD Phy9B 07 8 Intensity at y λ π φ 1 2 2 r r − = Phase difference: Intensity: θ sin 2 sin ) ( ) ( 2 1 2 1 2 d kd r r k r r = = − = − = ) sin ( cos 2 cos 2 2 d I I I o o = = Maximum Intensity: or: Small slits ( y<<R, then sin θ = y/R ) m d = sin m d = sin ) ( cos 2 R dy I I o = All peaks have same intensity....
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 Spring '09
 RichardScalettar
 Physics, Liu UCD Phy9B

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